Three-point functions and su(1 vertical bar 1) spin chains
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Abstract
We compute three-point functions of general operators in the su(1 vertical bar 1) sector of planar N = 4 SYM in the weak coupling regime, both at tree-level and one-loop. Each operator is represented by a closed spin chain Bethe state characterized by a set of momenta parameterizing the fermionic excitations. At one-loop, we calculate both the two-loop Bethe eigenstates and the relevant Feynman diagrams for the three-point functions within our setup. The final expression for the structure constants is surprisingly simple and hints at a possible form factor based approach yet to be unveiled.
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English
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Journal Of High Energy Physics. New York: Springer, n. 9, 35 p., 2014.
